105827547936 has 192 divisors, whose sum is σ = 319554547200. Its totient is φ = 30328473600.

The previous prime is 105827547929. The next prime is 105827547967. The reversal of 105827547936 is 639745728501.

It is a super-2 number, since 2×105827547936² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12415356 + ... + 12423876.

It is an arithmetic number, because the mean of its divisors is an integer number (1664346600).

It is a 1-persistent number, because it is pandigital, but 2⋅105827547936 = 211655095872 is not.

Almost surely, 2^105827547936 is an apocalyptic number.

105827547936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105827547936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159777273600).

105827547936 is an abundant number, since it is smaller than the sum of its proper divisors (213726999264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105827547936 is a wasteful number, since it uses less digits than its factorization.

105827547936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 105827547936 in words is "one hundred five billion, eight hundred twenty-seven million, five hundred forty-seven thousand, nine hundred thirty-six".